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345212616 = 233713914783
BaseRepresentation
bin10100100100111…
…000011011001000
3220001120121200110
4110210320123020
51201333300431
654131034320
711361154530
oct2444703310
9801517613
10345212616
11167955391
129773b9a0
135669b128
1433bc24c0
1520490346
hex149386c8

345212616 has 64 divisors (see below), whose sum is σ = 993484800. Its totient is φ = 97915968.

The previous prime is 345212561. The next prime is 345212617. The reversal of 345212616 is 616212543.

It is not an unprimeable number, because it can be changed into a prime (345212617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15961 + ... + 30743.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 2345212616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345212616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496742400).

345212616 is an abundant number, since it is smaller than the sum of its proper divisors (648272184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345212616 is a wasteful number, since it uses less digits than its factorization.

345212616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14938 (or 14934 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 345212616 is about 18579.8981697963. The cubic root of 345212616 is about 701.5019559735.

The spelling of 345212616 in words is "three hundred forty-five million, two hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 278 417 556 834 973 1112 1668 1946 2919 3336 3892 5838 7784 11676 14783 23352 29566 44349 59132 88698 103481 118264 177396 206962 310443 354792 413924 620886 827848 1241772 2054837 2483544 4109674 6164511 8219348 12329022 14383859 16438696 24658044 28767718 43151577 49316088 57535436 86303154 115070872 172606308 345212616